Final answer:
To find the inverse of the function f(x) = √(x - 2), switch x and y, square both sides to eliminate the radical, then solve for y to get y = x^2 + 2.
Step-by-step explanation:
To find the inverse of the radical function f(x) = √(x - 2), you need to switch the roles of x and y, then solve for y. Starting with y = √(x - 2), we swap x with y to get x = √(y - 2). To undo the square root, you square both sides, getting x2 = y - 2. Then, add 2 to both sides to isolate y, resulting in y = x2 + 2. This is the inverse function for the given radical function.